Given ⊙G and HJ¯¯¯¯¯¯¯¯ ≅ JK¯¯¯¯¯¯¯¯, what is ?

Question

Given ⊙G and HJ¯¯¯¯¯¯¯¯ ≅ JK¯¯¯¯¯¯¯¯, what is ?

1. A.
2. 36
3. 
   
4. B.
5. 72
6. 
   
7. C.
8. 108
9. 
   
10. D.
11. 144

Answer 1

If the chords HJ and JK are equal, then the corresponding arcs HJ and JK are equal.

The measure of arc JK is equal to the measure of its central angle (72)

Since arc HJ and arc JK are equal, then arc HJ is equal to 72 (B)